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Finding the Fourth Proportional to 8,112.84, 12,170.76 and 2,567.58

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Solution

The fourth proportional to 8,112.84, 12,170.76 and 2,567.58 is: 3,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.84 : 12,170.76 = 2,567.58 : x
  2. Step 2: Convert to fraction form
    8,112.84/12,170.76 = 2,567.58/x
  3. Step 3: Cross multiply
    8,112.84x = 12,170.76 × 2,567.58
  4. Step 4: Simplify right side
    8,112.84x = 31,249,344.69
  5. Step 5: Solve for x
    x = 31,249,344.69/8,112.84
  6. Step 6: Final answer
    x = 3,851.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.